Chelsea and Leicester met in the League Cup in England last season, with Antonio Conte's men triumphing 4-2.
Manchester United will play Brighton, meanwhile, in a repeat of the 1983 FA Cup final.
The winner of Tottenham's match at Rochdale on Sunday will meet Sheffield Wednesday or Swansea, who will go to a replay after Saturday's 0-0 draw.
And Southampton travel to the winners of Monday's match between Manchester City and Wigan.
The ties take place from 16-19 March.